AIEEE 2011 | Heat and Thermodynamics Question 354 | Physics

A Carnot engine operating between temperatures $${{T_1}}$$ and $${{T_2}}$$ has efficiency $${1 \over 6}$$. When $${T_2}$$ is lowered by $$62$$ $$K$$ its efficiency increases to $${1 \over 3}$$. Then $${T_1}$$ and $${T_2}$$ are, respectively:

$$372$$ $$K$$ and $$330$$ $$K$$

$$330$$ $$K$$ and $$268$$ $$K$$

$$310$$ $$K$$ and $$248$$ $$K$$

$$372$$ $$K$$ and $$310$$ $$K$$

AIEEE 2011

MCQ (Single Correct Answer)

-1

A thermally insulated vessel contains an ideal gas of molecular mass $$M$$ and ratio of specific heats $$\gamma .$$ It is moving with speed $$v$$ and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, Its temperature increases by:

$${{\left( {\gamma - 1} \right)} \over {2\gamma R}}M{v^2}K$$

$${{\gamma {M^2}v} \over {2R}}K$$

$${{\left( {\gamma - 1} \right)} \over {2R}}M{v^2}K$$

$${{\left( {\gamma - 1} \right)} \over {2\left( {\gamma + 1} \right)R}}M{v^2}K$$

AIEEE 2011

MCQ (Single Correct Answer)

-1

$$100g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C$$. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is $$4184$$ $$J/kg/K$$):

$$8.4$$ $$kJ$$

$$84$$ $$kJ$$

$$2.1$$ $$kJ$$

$$4.2$$ $$kJ$$

AIEEE 2010

MCQ (Single Correct Answer)

-1

Out of Syllabus

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $$V$$ to $$32$$ $$V$$, the efficiency of the engine is

$$0.5$$

$$0.75$$

$$0.99$$

$$0.25$$

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